5. Bibliography#

5.1. Books/articles/proceedings/theses…#

  1. [ADD89] M.Arioli, J.Demmel, and I.S.Duff. Solving sparse linear systems with sparse backward error. SIAM journal on matrix analysis and applications. 10, 165:190 (1989).

[ADE00] P.R.Amestoy, I.S.Duff and J.Y.L’Excellent. Multifrontal parallel distributed symmetric and unsymmetric solvers. Compute. Methods in Appl. Mech. Eng. 184, 501:520 (2000).

[ADKE01] P.R.Amestoy, I.S.Duff, J.Koster, and J.Y.L’Excellent. A fully asynchronous multifront-end solver using distributed dynamic scheduling. SIAM journal of matrix analysis and applications, 23, 15:41 (2001).

[AGES06] P.R.Amestoy, A.Guerouche, J.Y.L’Excellent and S.Pralet. Hybrid scheduling for the parallel solution of linear systems. Parallel computing. 32, 136:156 (2006).

[Che05] K.Chen. Matrix preconditioning techniques and applications. Ed. Cambridge University Press (2005).

[CW13] C. Weisbecker. Improving Multifrontal Solvers by Means of Algebraic Block Low-Rank Representations. PhD thesis of Toulouse University (2013). 2013 Leopold Escande thesis award.

[CW15] P.Amestoy, C.Ashcraft, O.Boiteau, O.Boiteau, A.Buttari, J.Y.L’Excellent and C.Weisbecker. Improving Multifrontal Methods by Means of Block Low-Rank Representations. SIAM J.Sci. Comput., 37 (3), A1451-1474 (2015).

[Dav06] T.A. Davis. Direct methods for sparse linear systems. Ed. SIAM (2006).

[Duf06] I.S.Duff et al.*Direct methods for sparse matrices* Ed. Clarendon Press (2006).

[Gol96] G.Golub & C.Van Loan. Matrix computations. Ed. Johns Hopkins University Press (1996).

[Hig02] N.J. Higham. Accuracy and stability of numerical algorithms. Ed. SIAM (2002).

[Las98] P.Lascaux & R.Théodor. Numerical matrix analysis applied to the art of the engineer. Ed. Masson (1998).

[Liu89] J.W.H.Liu. Computer solution of large sparse positive definite systems. Prentice Hall (1981).

[Meu99] G.Meurant. Computer solution of large linear systems. Ed. Elsevier (1999).

[Saa03] Y.Saad. Iterative methods for sparse matrices. Ed. PWS (2003).

5.2. Reports/reports EDF#

  1. [Anf03] N.Anfaoui. A study of the performance of Code_Aster: optimization proposal. PARIS VI DESS applied mathematics internship (2003).

[BD08] O.Boiteau and C.Denis. Activating the « Out-Of-Core » features of MUMPS in Code_Aster. Report EDF R&D CR-I23/08/047 (2008).

[Boi07] O.Boiteau. Integration of MUMPS distributed parallel in Code_Aster. Note EDF R&D HI-I23/07/03167 (2007).

[Boi13] O.Boiteau. Linear solver MUMPS: software projects in Code_Aster, C.Weisbecker’s thesis on low-rank compressions and EDF/INPT partnership. Note EDF R&D H-I23-2013-03942 (2013).

[Boi15] O.Boiteau. Partnerships and scientific activities in the field of HPC linear algebra libraries: consortium MUMPS, mini-symposium SOLVER and semester CIMI. Note EDF R&D H-I23-2015-04879 (2015).

[Boi16] O.Boiteau. MUMPS: latest product advances and consortium news. Note EDF R&D 6125-1106-2016-14581 (2016).

[Des07] T.Desoza. Evaluation and development of parallelism in Code_Aster. Master internship ENPC (2007) and grade EDF R&D HT-62/08/01464 (2008).

[Dur08] C.Durand et al. HPC with Code_Aster: state of play and perspectives. Note EDF R&D HT-62/08/0139 (2008).

[GM08] S.Géniaut and F.Meissonnier. Feasibility of a study of the harmfulness of a crack in an MP valve using the X- FEM method and with the SALOME platform. Report EDF R&D CR- AMA /08/0255 (2008).

[GS11] V.Godard and N.Sellenet. Calculation HPC with Code_Aster: current situation and perspectives. CR- AMA -11.042 (2011).

  1. [Tar07] N.Tardieu. GCP + MUMPS, a simple solution for solving problems with parallel contact. Report EDF R&D CR- AMA /07/0257 (2007).

[SOL] O.Boiteau. Followed by ANR SOLSTICE. EDF R&D reports (2007-2010).

5.3. Internet resources#

  1. [Dav] T.A. Davis. Pointer to direct sparse solver packages: http://www. cise.ufl.edu/research/sparse/codes/.

[Gift] J.Dongarra. Pointer to solver packages: http://www.netlib.org/utk/people/JackDongarra/la-sw.html.

[MaMA] MatrixMarket website: http://math.nist.gov/MatrixMarket/index.html.

[Mum] MUMPS official website:

`http://graal.ens-lyon.fr/MUMPS`_ < http://graal.ens-lyon.fr/MUMPS >.

[MUC] Official MUMPS consortium website: http://mumps-consortium.org.